On the Definitions of the Trigonometric Functions (Classic Reprint)

Alexander Macfarlane

ISBN 10: 0282992294 ISBN 13: 9780282992293
Published by Forgotten Books, 2019
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This book delves into the fundamental definitions of trigonometric functions, challenging traditional understandings and presenting a unified framework for a more comprehensive analysis. The author explores the historical development of these functions, from their origins in ancient geometry to the more abstract definitions used in modern mathematical treatises. Through a rigorous examination of various definitions—triangular, circular, and hyperbolic—the author proposes a new system that integrates these different perspectives. This system emphasizes the importance of area in defining trigonometric functions and introduces new concepts such as "trigonometric areas" and "complementary functions." The author's approach provides a deeper understanding of the relationships between trigonometric functions and their applications in various branches of mathematics. The book's insights are essential for anyone seeking a thorough understanding of trigonometry and its role in the broader field of mathematical analysis.

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Bibliographic Details

Title: On the Definitions of the Trigonometric ...
Publisher: Forgotten Books
Publication Date: 2019
Binding: PAP
Condition: New

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Alexander Macfarlane
Published by Forgotten Books, 2018
ISBN 10: 0282992294 ISBN 13: 9780282992293
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Paperback. Condition: New. Print on Demand. This book delves into the fundamental definitions of trigonometric functions, challenging traditional understandings and presenting a unified framework for a more comprehensive analysis. The author explores the historical development of these functions, from their origins in ancient geometry to the more abstract definitions used in modern mathematical treatises. Through a rigorous examination of various definitionsââ âtriangular, circular, and hyperbolicââ âthe author proposes a new system that integrates these different perspectives. This system emphasizes the importance of area in defining trigonometric functions and introduces new concepts such as "trigonometric areas" and "complementary functions." The author's approach provides a deeper understanding of the relationships between trigonometric functions and their applications in various branches of mathematics. The book's insights are essential for anyone seeking a thorough understanding of trigonometry and its role in the broader field of mathematical analysis. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780282992293_0

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Alexander Macfarlane
Published by Forgotten Books, 2019
ISBN 10: 0282992294 ISBN 13: 9780282992293
New PAP

Seller: PBShop.store UK, Fairford, GLOS, United Kingdom

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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282992293

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